Write an equation to determine the unknown side. Then, solve the equation. Simplify your answer. Round to the nearest tenth, if
necessary.
1 answer:
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Observe the given figure.
Given:
To prove:
Statement
1.
Reason: Given
2.
Reason: Substitution
3. are alternate interior angles.
Reason: Definition of alternate interior angles
4.
Reason: If alternate interior angles are equal, then the lines are parallel.
Answer:
<h2>Volume = 1659.84</h2><h2>Surface area = 1205.36</h2>Step-by-step explanation:
Volume for triangular prism = 1/2 * b * l * h
we are given the length and the height but not the base.
since it is a right triangle we can use the Pythagorean theorem a^2 + b^2 = c^2
13.3^2 + b^2 = 20.5^2
176.89 + b^2 = 420.25
b^2 = 243.36
b = = 15.6
1/2 (15.6)(13.3)(16) = 1659.84
Front: 15.6 x 13.3 = 207.48
Back: 15.6 x 13.3 = 207.48
Left: 15.6 x 16 = 249.6
Right: 13.3 x 16 = 212.8
Bottom: 20.5 x 16 = 328
207.48 + 207.48 + 249.6 + 212.8 + 328 = 1205.36